22214104200 has 180 divisors, whose sum is σ = 77218817445. Its totient is φ = 5918702400.

The previous prime is 22214104193. The next prime is 22214104243. The reversal of 22214104200 is 240141222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22214104200 is a `hidden beast` number, since 22 + 214 + 10 + 420 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21769822116 + 444282084 = 147546^2 + 21078^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105390.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18969615 + ... + 18970785.

Almost surely, 2^22214104200 is an apocalyptic number.

22214104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214104200

22214104200 is an abundant number, since it is smaller than the sum of its proper divisors (55004713245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22214104200 is an equidigital number, since it uses as much as digits as its factorization.

22214104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Multiplying 22214104200 by its sum of digits (18), we get a square (399853875600 = 632340²).

22214104200 divided by its sum of digits (18) gives a square (1234116900 = 35130²).

Adding to 22214104200 its reverse (240141222), we get a palindrome (22454245422).

The spelling of 22214104200 in words is "twenty-two billion, two hundred fourteen million, one hundred four thousand, two hundred".